A and B can do a piece of work in 10 days, B and C in 15
days and C and A in 20 days, C alone can do the work in :
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Answer 24 hours
(A + B)’s 1 day’s work 
(B + C)’s 1 day’s work 
(C + A)’s 1 day’s work 
On adding,
2(A + B + C)’s 1 day’s work 
∴ (A + B + C)’s 1 day’s work 
∴ A’s 1 day’s work 
∴ A alone will complete the work in 24 days.
(A + B)’s 1 day’s work 
(B + C)’s 1 day’s work 
(C + A)’s 1 day’s work 
On adding,
2(A + B + C)’s 1 day’s work 
∴ (A + B + C)’s 1 day’s work 
∴ A’s 1 day’s work 
∴ A alone will complete the work in 24 days.
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